ON DERIVATIONS AND GENERALIZED DERIVATIONS OF BITONIC ALGEBRAS
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Date
2018
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
UNIV BELGRADE FAC ELECTRICAL ENGINEERING
Open Access Color
GOLD
Green Open Access
Yes
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Publicly Funded
No
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Average
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Top 10%
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Average
Abstract
We introduce the notion of bitonic algebras as a generalization of dual BCC-algebras and define the notion of (rl)-derivations (lr) -derivations and generalized (rl) and (lr)-derivations on the bitonic algebras. Then we study the properties of the derivations and the generalized derivations on the bitonic algebras and the commutative bitonic algebras. Finally we show that every generalized derivation of commutative bitonic algebras is a derivation.
Description
Keywords
bitonic algebras, commutative bitonic algebras, (r l) and (l r)-derivations, generalized (r l) and (l r)-derivations, generalized derivations, Commutative Bitonic Algebras, Bitonic Algebras, Generalized (r,l) and (l,r)-Derivations, Generalized Derivations, (R,l) and (l,r)-Derivations, BCK-algebras, BCI-algebras, commutative bitonic algebras, bitonic algebras, generalized \((r,l)\) and \((l,r)\)-derivations, \((r,l)\) and \((l,r)\)-derivations, generalized derivations, Other algebras related to logic
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Scopus Q
OpenCitations Citation Count
2
Source
Applicable Analysis and Discrete Mathematics
Volume
12
Issue
1
Start Page
110
End Page
125
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Citations
CrossRef : 2
Scopus : 4
SCOPUS™ Citations
4
checked on Apr 09, 2026
Web of Science™ Citations
1
checked on Apr 09, 2026
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